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Finding the Fourth Proportional to 508.96, 763.56 and 184.42

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Solution

The fourth proportional to 508.96, 763.56 and 184.42 is: 276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 763.56 = 184.42 : x
  2. Step 2: Convert to fraction form
    508.96/763.56 = 184.42/x
  3. Step 3: Cross multiply
    508.96x = 763.56 × 184.42
  4. Step 4: Simplify right side
    508.96x = 140,815.74
  5. Step 5: Solve for x
    x = 140,815.74/508.96
  6. Step 6: Final answer
    x = 276.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.